Home / 3,106.32-4,286.73-1,780

Finding the Fourth Proportional to 3,106.32, 4,286.73 and 1,780

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Solution

The fourth proportional to 3,106.32, 4,286.73 and 1,780 is: 2,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.32 : 4,286.73 = 1,780 : x
  2. Step 2: Convert to fraction form
    3,106.32/4,286.73 = 1,780/x
  3. Step 3: Cross multiply
    3,106.32x = 4,286.73 × 1,780
  4. Step 4: Simplify right side
    3,106.32x = 7,630,379.40
  5. Step 5: Solve for x
    x = 7,630,379.40/3,106.32
  6. Step 6: Final answer
    x = 2,456.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.